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Chen–Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms
AxiomsIn this article, we study isotropic submanifolds in locally metallic product space forms. Firstly, we establish the Chen–Ricci inequality for such submanifolds and determine the conditions under which the inequality becomes equality.
Yanlin Li +4 more
doaj +2 more sources
AxiomsIn the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed +4 more
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On Type-I singularities in Ricci flow [PDF]
, 2011 07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, Peter +5 more
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Improved Chen–Ricci inequality for curvature-like tensors and its applications [PDF]
, 2011 We present Chen–Ricci inequality and improved Chen–Ricci inequality for curvature like tensors. Applying our improved Chen–Ricci inequality we study Lagrangian and Kaehlerian slant submanifolds of complex space forms, and C-totally real submanifolds of ...
Mukut Mani Tripathi +1 more
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L-optimal transportation for Ricci flow [PDF]
, 2009 We introduce the notion of L-optimal transportation, and use it to construct a natural monotonic quantity for Ricci flow which includes a selection of other monotonicity results, including some key discoveries of Perelman [13] (both related to entropy ...
Topping, Peter
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Journal of Inequalities and Applications, 2020 In the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary ...
Akram Ali +3 more
doaj +1 more source
Ricci flow coupled with harmonic map flow [PDF]
, 2012 07.02.13 KB. Accepted version ok to add to Spiral. SMF/SherpaWe investigate a new geometric flow which consists of a coupled system of the Ricci flow on a closed manifold M with the harmonic map flow of a map phi from M to some closed target manifold N ...
Reto Müller, Müller, Reto, Müller, R
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The stability inequality for Ricci-flat cones [PDF]
, 2014 In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest ...
Haslhofer, Robert +2 more
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The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature [PDF]
, 2023 We prove a sharp Log-Sobolev inequality for submanifolds of a complete non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci curvature and Euclidean volume growth.
Lee, Jihye, Ricci, Fabio
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Modified Ricci flow on a principal bundle [PDF]
, 2008 textLet M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber.
Young, Andrea Nicole, 1979-
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